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Finding the Fourth Proportional to 205,659.48, 308,296.98 and 72,465.24

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Solution

The fourth proportional to 205,659.48, 308,296.98 and 72,465.24 is: 108,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,659.48 : 308,296.98 = 72,465.24 : x
  2. Step 2: Convert to fraction form
    205,659.48/308,296.98 = 72,465.24/x
  3. Step 3: Cross multiply
    205,659.48x = 308,296.98 × 72,465.24
  4. Step 4: Simplify right side
    205,659.48x = 22,340,814,646.98
  5. Step 5: Solve for x
    x = 22,340,814,646.98/205,659.48
  6. Step 6: Final answer
    x = 108,630.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.